Question

A particle travels in a circle around a fixed point at 16 revolutions per minute. The linear velocity of the particle is 240

inches per minute.
What is the distance, in inches, between the particle and the fixed point?

Answer 1

15 inches

Explanation:

We are given;

Linear velocity; V = 240 in/min

ω = 16 rev/min

Now, in circular motion, formula for linear velocity is;

V = ωr

Where ω is angular velocity and r is radius which is the distance between the object and the fixed point.

Thus;

240 = 16r

r = 240/16

r = 15 inches